The mean pull-off force of an adhesive used in
Chapter 9, Problem 151SE(choose chapter or problem)
The mean pull-off force of an adhesive used in manufacturing a connector for an automotive engine application should be at least 75 pounds. This adhesive will be used unless there is strong evidence that the pull-off force does not meet this requirement. A test of an appropriate hypothesis is to be conducted with sample size \(n=10 \) and \(\alpha=0.05\). Assume that the pull-off force is normally distributed, and is not known.
(a) If the true standard deviation is \(\sigma=1\), what is the risk that the adhesive will be judged acceptable when the true mean pull-off force is only 73 pounds? Only 72 pounds?
(b) What sample size is required to give a chance of detecting that the true mean is only 72 pounds when \(\sigma=1\)?
(c) Rework parts (a) and (b) assuming that \(\sigma=2\). How much impact does increasing the value of \(\sigma\) have on the answers you obtain?
Equation Transcription:
Text Transcription:
n=10
alpha=0.05
sigma=1
sigma=1
sigma=2
sigma
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